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Z2对称分岔问题中高阶项集合的注释
引用本文:时红廷,张毅,王方,张建龙,郑崇友.Z2对称分岔问题中高阶项集合的注释[J].数学进展,2012(3):361-372.
作者姓名:时红廷  张毅  王方  张建龙  郑崇友
作者单位:首都师范大学数学科学学院;中国石油大学(北京)理学院;北京陈经纶中学;九江学院理学院
基金项目:国家自然科学基金资助项目(No.10771145,No.60874071);北京市教育委员会科技发展计划项目(No.KM200810028001);北京市自然科学基金资助项目(No.1122009)
摘    要:本文首先给出了关于Z2对称分岔问题中高阶项集合的若干命题,然后给出了Z2对称分岔问题中高阶项集合的计算公式的证明.

关 键 词:Z2对称  Z2(强)等价  Z2余维数  内蕴子模  高阶项

Note of the Set of Higher-order Terms in Bifurcation Problems With Z2-symmetry
SHI Hongting,ZHANG Yi,WANG Fang,ZHANG Jianlong,ZHENG Chongyou.Note of the Set of Higher-order Terms in Bifurcation Problems With Z2-symmetry[J].Advances in Mathematics,2012(3):361-372.
Authors:SHI Hongting  ZHANG Yi  WANG Fang  ZHANG Jianlong  ZHENG Chongyou
Institution:1 (1.School of Mathematical Sciences,Capital Normal University,Beijing,100048,P.R.China; 2.School of Sciences,China University of Petroleum,Beijing,102249,P.R.China;3.Beijing Chen Jinglun High School,Beijing,100020,P.R.China;4.College of Science,Jiujiang University,Jiujiang, 332005,P.R.China)
Abstract:First,several propositions about the set of higher-order terms in bifurcation problems with Z2-symmetry are given;then the proof of the calculation formula of the set of higher-order terms in bifurcation problems with Z2-symmetry is given.
Keywords:Z2-symmetry  (strongly) Z2-equivalence  Z2-codimension  intrinsic submodule  higher-order term
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